In the present paper, by estimating operator norms, we give some characterizations of infinite matrix classes $\left( \left\vert E_{\mu }^{r}\right\vert _{q},\Lambda\right) $ and $\left( \left\vert E_{\mu }^{r}\right\vert _{\infty },\Lambda\right) $, where the absolute spaces $\ \left\vert E_{\mu }^{r}\right\vert _{q},$ $\left\vert E_{\mu }^{r}\right\vert _{\infty }$ have been recently studied by G\"{o}k\c{c}e and Sar{\i }g\"{o}l \cite{GS2019c} and $\Lambda$ is one of the well-known spaces $c_{0},c,l_{\infty },l_{q}(q\geq 1)$. Also, we obtain necessary and sufficient conditions for each matrix in these classes to be compact establishing their identities or estimates for the Hausdorff measures of noncompactness.
Absolute summability Euler matrix Hausdorff measures of noncompactness Matrix transformations Operator norm Sequence spaces
Birincil Dil | İngilizce |
---|---|
Konular | Matematik |
Bölüm | Makaleler |
Yazarlar | |
Yayımlanma Tarihi | 1 Temmuz 2023 |
Gönderilme Tarihi | 13 Nisan 2023 |
Kabul Tarihi | 30 Haziran 2023 |
Yayımlandığı Sayı | Yıl 2023 |
Universal Journal of Mathematics and Applications
The published articles in UJMA are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.